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Flexible robotics are capable of achieving various functionalities by shape morphing, benefiting from their compliant bodies and reconfigurable structures. Here we construct and study a class of origami springs generalized from the known…

Robotics · Computer Science 2022-01-19 Qianying Chen , Fan Feng , Pengyu Lv , Huiling Duan

Origami-based structures play an important role in the realization of deployable mechanisms and unique mechanical properties via programmable deformation by folding. Among origami-based structures, tessellation by the coupling of origami…

Advances in additive manufacturing have enabled the realisation of inexpensive, scalable, diffractive acoustic lenses that can be used to generate complex acoustic fields via phase and/or amplitude modulation. However, the design of these…

Sound · Computer Science 2023-05-08 Antonio Stanziola , Ben T. Cox , Bradley E. Treeby , Michael D. Brown

Origami, where two-dimensional sheets are folded into complex structures, is proving to be rich with combinatorial and geometric structure, most of which remains to be fully understood. In this paper we consider \emph{flat origami}, where…

Combinatorics · Mathematics 2019-10-04 Alvin Chiu , William Hoganson , Thomas C. Hull , Sylvia Wu

The ability to transform a flat sheet into a complex three-dimensional structure is a fundamental test of physical intelligence. Unlike cloth manipulation, origami is governed by strict geometric axioms and hard kinematic constraints, where…

Graphics · Computer Science 2026-04-06 Yanjia Huang , Yunuo Chen , Ying Jiang , Jinru Han , Zhengzhong Tu , Yin Yang , Chenfanfu Jiang

We introduce a simple and concrete way of visualizing in three dimensions a "flat" Klein bottle -- one whose local intrinsic geometry is the same as that of a flat plane -- which preserves most its topological and geometric structure.…

History and Overview · Mathematics 2021-01-25 Stepan Paul

The fast-growing field of soft matter research requires increasingly sophisticated tools for experimental studies. One of the oldest and most widely used tools to study soft matter systems is optical microscopy. Recent advances in optical…

Soft Condensed Matter · Physics 2011-08-17 Taewoo Lee , Bohdan Senyuk , Rahul P. Trivedi , Ivan I. Smalyukh

Origami structures are characterized by a network of folds and vertices joining unbendable plates. For applications to mechanical design and self-folding structures, it is essential to understand the interplay between the set of folds in…

Soft Condensed Matter · Physics 2018-03-01 Bryan Gin-ge Chen , Christian D. Santangelo

Rigid origami has shown potential in large diversity of practical applications. However, current rigid origami crease pattern design mostly relies on known tessellations. This strongly limits the diversity and novelty of patterns that can…

Graphics · Computer Science 2023-05-01 Jeremia Geiger , Karolis Martinkus , Oliver Richter , Roger Wattenhofer

Soft deployable structures - unlike conventional piecewise rigid deployables based on hinges and springs - can assume intricate 3-D shapes, thereby enabling transformative technologies in soft robotics, shape-morphing architecture, and…

Soft Condensed Matter · Physics 2023-03-21 Leixin Ma , Mrunmayi Mungekar , Vwani Roychowdhury , M. Khalid Jawed

We characterize the phase-space of all Helical Miura Origami. These structures are obtained by taking a partially folded Miura parallelogram as the unit cell, applying a generic helical or rod group to the cell, and characterizing all the…

Soft Condensed Matter · Physics 2020-03-18 Fan Feng , Paul Plucinsky , Richard D. James

Microscopes are essential for biomechanics and hydrodynamical investigation of small aquatic organisms. We report a DIY microscope (GLUBscope) that enables the visualization of organisms from two orthogonal imaging planes (top and side…

Quantitative Methods · Quantitative Biology 2023-07-26 Brian T. Le , Katherine M. Auer , David A. Lopez , Justin P. Shum , Brian Suarsana , Ga-Young Kelly Suh , Per Niklas Hedde , Siavash Ahrar

In nanofabrication, just as in any other craft, the scale of spatial details is limited by the dimensions of the tool at hand. For example, the smallest details for direct laser writing with far-field light are set by the diffraction limit,…

Mesoscale and Nanoscale Physics · Physics 2018-10-17 Pekka Koskinen , Karoliina Karppinen , Pasi Myllyperkiö , Vesa-Matti Hiltunen , Andreas Johansson , Mika Pettersson

Shape-morphing structures, which are able to change their shapes from one state to another, are important in a wide range of engineering applications. A popular scenario is morphing from an initial two-dimensional (2D) shape that is flat to…

Soft Condensed Matter · Physics 2023-03-22 Yunlan Zhang , Jingyi Yang , Mingchao Liu , Dominic Vella

Rigid origami, with applications ranging from nano-robots to unfolding solar sails in space, describes when a material is folded along straight crease line segments while keeping the regions between the creases planar. Prior work has found…

Metric Geometry · Mathematics 2022-04-27 Johnna Farnham , Thomas C. Hull , Aubrey Rumbolt

People are constantly in touch with surfaces in their lives, such as a sofa, armrest, and table, making them natural tactile interfaces. Despite the recent advancements in shape-changing surfaces, current available solutions are often…

Human-Computer Interaction · Computer Science 2025-11-06 Shubham Rohal , Shijia Pan

We introduce an additive approach for the design of a class of transformable structures based on two-bar linkages ("scissor mechanisms") joined at vertices to form a two dimensional lattice. Our discussion traces an underlying mathematical…

Soft Condensed Matter · Physics 2024-10-21 Noah Toyonaga , L Mahadevan

Origami-inspired self-deployable structures offer lightweight, compact, and autonomous deployment capabilities, making them highly attractive for aerospace and defence applications, such as solar panels, antennas, and reflector systems.…

Soft Condensed Matter · Physics 2025-10-10 Suraj Singh Gehlot , Siddhanth Gautam , Sanhita Das

The electron microscope has been a powerful, highly versatile workhorse in the fields of material and surface science, micro and nanotechnology, biology and geology, for nearly 80 years. The advent of two-dimensional materials opens new…

Mesoscale and Nanoscale Physics · Physics 2017-08-02 Peter Bøggild , Jose M. Caridad , Christoph Stampfer , Gaetano Galogero , Nick Papior , Mads Brandbyge

Miniature fluorescence microscopes are a standard tool in systems biology. However, widefield miniature microscopes capture only 2D information, and modifications that enable 3D capabilities increase the size and weight and have poor…

Image and Video Processing · Electrical Eng. & Systems 2020-10-13 Kyrollos Yanny , Nick Antipa , William Liberti , Sam Dehaeck , Kristina Monakhova , Fanglin Linda Liu , Konlin Shen , Ren Ng , Laura Waller
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